Properties

Label 77616bw
Number of curves $1$
Conductor $77616$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bw1")
 
E.isogeny_class()
 

Elliptic curves in class 77616bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
77616.r1 77616bw1 \([0, 0, 0, -1764, -37044]\) \(-27648/11\) \(-241517396736\) \([]\) \(80640\) \(0.89305\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 77616bw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 77616bw do not have complex multiplication.

Modular form 77616.2.a.bw

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - q^{11} - 6 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display